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2124110220 = 2235172971809
BaseRepresentation
bin111111010011011…
…0101100110001100
312111000212222102220
41332212311212030
513322233011340
6550435015340
7103431432111
oct17646654614
95430788386
102124110220
119a00064a1
124b343a550
1327b0b006b
14162164908
15c672aed0
hex7e9b598c

2124110220 has 96 divisors (see below), whose sum is σ = 6514603200. Its totient is φ = 514719744.

The previous prime is 2124110161. The next prime is 2124110221. The reversal of 2124110220 is 220114212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2124110220.

It is not an unprimeable number, because it can be changed into a prime (2124110221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6325 + ... + 65484.

It is an arithmetic number, because the mean of its divisors is an integer number (67860450).

Almost surely, 22124110220 is an apocalyptic number.

2124110220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257301600).

2124110220 is an abundant number, since it is smaller than the sum of its proper divisors (4390492980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2124110220 is a wasteful number, since it uses less digits than its factorization.

2124110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71867 (or 71865 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2124110220 is about 46088.0702568463. The cubic root of 2124110220 is about 1285.4613291068.

Adding to 2124110220 its reverse (220114212), we get a palindrome (2344224432).

The spelling of 2124110220 in words is "two billion, one hundred twenty-four million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 870 986 1020 1479 1740 1972 2465 2958 4930 5916 7395 9860 14790 29580 71809 143618 215427 287236 359045 430854 718090 861708 1077135 1220753 1436180 2082461 2154270 2441506 3662259 4164922 4308540 4883012 6103765 6247383 7324518 8329844 10412305 12207530 12494766 14649036 18311295 20824610 24415060 24989532 31236915 35401837 36622590 41649220 62473830 70803674 73245180 106205511 124947660 141607348 177009185 212411022 354018370 424822044 531027555 708036740 1062055110 2124110220